Quad-trees
A Quad-tree is a tree data structure used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. Each node in the tree represents a rectangular area, and if a region contains more than a certain number of points or objects, it is split into four smaller regions. This method helps in efficiently managing spatial data, such as in computer graphics and geographic information systems.
Quad-trees are particularly useful for applications like image compression, collision detection in video games, and spatial indexing. By organizing data in this hierarchical manner, Quad-trees enable faster querying and retrieval of information, making them an essential tool in various fields involving spatial analysis.